Ratios and Equivalent Ratios

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What is a ratio?

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A ratio is a comparison of two quantities that shows the relative size of one quantity to another, often expressed as 'a : b'. For example, if there are 2 apples and 3 oranges, the ratio of apples to oranges is 2 : 3.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is an equivalent ratio?

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Equivalent ratios are ratios that express the same relationship between two quantities, even if the numbers are different. For example, 1 : 2 and 2 : 4 are equivalent ratios.

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CCSS.6.RP.A.3A

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How do you find equivalent ratios?

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You can find equivalent ratios by multiplying or dividing both terms of the ratio by the same non-zero number. For example, to find an equivalent ratio for 2 : 3, multiply both terms by 2 to get 4 : 6.

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CCSS.6.RP.A.3A

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What is the ratio of 4 meatballs to 1 cup of sauce?

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The ratio is 4 : 1.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

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Are 4 : 5 and 8 : 15 equivalent ratios?

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No, they are not equivalent ratios.

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CCSS.6.RP.A.3A

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If tomatoes and cucumbers are planted in a ratio of 4 : 1, how many tomato plants are there if there are 14 cucumber plants?

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There are 56 tomato plants.

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What is one equivalent ratio for 15 : 30?

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One equivalent ratio is 5 : 10.

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CCSS.6.RP.A.3A

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If a recipe calls for a ratio of 2 cups of flour to 3 cups of sugar, how many cups of sugar are needed for 4 cups of flour?

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6 cups of sugar are needed.

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What is the simplest form of the ratio 8 : 12?

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The simplest form is 2 : 3.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

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If the ratio of boys to girls in a class is 3 : 4 and there are 12 boys, how many girls are there?

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There are 16 girls.